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Finding the Fourth Proportional to 17,820.64, 24,590.80 and 10,649.14

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Solution

The fourth proportional to 17,820.64, 24,590.80 and 10,649.14 is: 14,694.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,820.64 : 24,590.80 = 10,649.14 : x
  2. Step 2: Convert to fraction form
    17,820.64/24,590.80 = 10,649.14/x
  3. Step 3: Cross multiply
    17,820.64x = 24,590.80 × 10,649.14
  4. Step 4: Simplify right side
    17,820.64x = 261,870,871.91
  5. Step 5: Solve for x
    x = 261,870,871.91/17,820.64
  6. Step 6: Final answer
    x = 14,694.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.